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Q.

A block A of mass m and a pan P of equal mass are connected by a string passing over a smooth light pulley. Initially the system is at rest. A particle of mass m falls freely from height h on the pan and sticks to it. The speed with which A moves just after the collision is

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a

gh2

b

2gh3

c

2gh3

d

2gh3

answer is B.

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Detailed Solution

velocity with which mass m hits the pan is 2gh at that moment to conserve the momentum m2gh= 3mv other mass is also connected  and moves up with same velocity v= 2gh3
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